Find the Domain 3a-1/5=a/5+27/5

Problem

3*a−1/5=a/5+27/5

Solution

1. Identify the type of equation provided. This is a linear equation in one variable, a

2. Examine the expression for any operations that could restrict the domain, such as division by zero or square roots of negative numbers.

3. Observe that the denominators in the equation are constants (5, which are never zero.

4. Determine that since there are no variables in any denominator and no radical expressions, the variable a can take any real number value.

5. Conclude that the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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